Trigonometric Identities and Relationships

Trigonometric Identities and Relationships

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to use trigonometric identities to find the value of an expression. It begins with setting up the problem by identifying given values and conditions. The instructor then determines the correct quadrant based on these conditions. Using trigonometric identities, the instructor finds the values of secant and cosine. The tutorial concludes with rationalizing the results and verifying the solution.

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26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of using trigonometric identities in this lesson?

To find the value of an angle

To solve a quadratic equation

To find the value of an expression

To determine the length of a side in a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are you given in the problem to find cosine and secant?

Sine and tangent

Secant and tangent

Tangent and cosine conditions

Sine and cosine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is cosine negative and tangent positive?

Second quadrant

Fourth quadrant

First quadrant

Third quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the given problem?

Determine the quadrant

Rationalize the expression

Find the value of sine

Calculate the value of secant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the given problem?

Find the value of sine

Determine the quadrant

Calculate the value of secant

Rationalize the expression

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to find secant from tangent?

Sine squared plus cosine squared equals one

One plus tangent squared equals secant squared

Cosine equals one over secant

Sine equals one over cosecant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't cosine be directly found from tangent in this problem?

Because sine is not given

Because secant is not given

Because tangent is zero

Because cosine is undefined

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